Final answer:
The difference between 6⅛ and 2⅘ is found by converting both to improper fractions and subtracting them, resulting in 4⅛.
Step-by-step explanation:
The question asks to find the difference between the numbers 6⅛ (which is 6 + ⅛ or 6.625 in decimal) and 2⅘ (which is 2 + ⅘ or 2.375 in decimal). To find the difference, you subtract the smaller number (2⅘) from the larger number (6⅛).
Here is how you calculate it step-by-step:
- Convert the mixed numbers to improper fractions: 6⅛ = ⅚ and 2⅘ = ⅐.
- Make sure both fractions have the same denominator: They both have a denominator of 8, so no further action is needed.
- Subtract the fractions: ⅚ - ⅐ = ⅚.
- Convert the result back to a mixed number which is: 4 + ⅛ = 4⅛.
- Simplify if needed: In this case, the fraction ⅛ is already in its simplest form, so the final answer is 4⅛.
Therefore, the difference between 6⅛ and 2⅘ is 4⅛.